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214303404 = 223717314747
BaseRepresentation
bin11001100011000…
…00001010101100
3112221020202000010
430301200022230
5414330202104
633133133220
75211356160
oct1461401254
9487222003
10214303404
11aaa72357
125b92a210
1335524863
1420666ca0
1513c32489
hexcc602ac

214303404 has 48 divisors (see below), whose sum is σ = 574818048. Its totient is φ = 60871488.

The previous prime is 214303387. The next prime is 214303429. The reversal of 214303404 is 404303412.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7159 + ... + 21905.

It is an arithmetic number, because the mean of its divisors is an integer number (11975376).

Almost surely, 2214303404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214303404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287409024).

214303404 is an abundant number, since it is smaller than the sum of its proper divisors (360514644).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

214303404 is a wasteful number, since it uses less digits than its factorization.

214303404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14934 (or 14932 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 214303404 is about 14639.1053005298. The cubic root of 214303404 is about 598.4249467411.

Adding to 214303404 its reverse (404303412), we get a palindrome (618606816).

The spelling of 214303404 in words is "two hundred fourteen million, three hundred three thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 173 346 519 692 1038 1211 2076 2422 3633 4844 7266 14532 14747 29494 44241 58988 88482 103229 176964 206458 309687 412916 619374 1238748 2551231 5102462 7653693 10204924 15307386 17858617 30614772 35717234 53575851 71434468 107151702 214303404